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2018 Harvard-MIT Mathematics Tournament
2
2018 Team #2
2018 Team #2
Source:
February 12, 2018
Problem Statement
Is the number
(
1
+
1
2
)
(
1
+
1
4
)
(
1
+
1
6
)
⋯
(
1
+
1
2018
)
\left( 1 + \frac12 \right) \left( 1 + \frac14 \right) \left( 1 + \frac16 \right)\cdots\left( 1 + \frac{1}{2018} \right)
(
1
+
2
1
)
(
1
+
4
1
)
(
1
+
6
1
)
⋯
(
1
+
2018
1
)
greater than, less than, or equal to
50
50
50
?
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